4t-6=5(t+7)

Solution for 4t-6=5(t+7) equation:

Simplifying
4t + -6 = 5(t + 7)

Reorder the terms:
-6 + 4t = 5(t + 7)

Reorder the terms:
-6 + 4t = 5(7 + t)
-6 + 4t = (7 * 5 + t * 5)
-6 + 4t = (35 + 5t)

Solving
-6 + 4t = 35 + 5t

Solving for variable 't'.

Move all terms containing t to the left, all other terms to the right.

Add '-5t' to each side of the equation.
-6 + 4t + -5t = 35 + 5t + -5t

Combine like terms: 4t + -5t = -1t
-6 + -1t = 35 + 5t + -5t

Combine like terms: 5t + -5t = 0
-6 + -1t = 35 + 0
-6 + -1t = 35

Add '6' to each side of the equation.
-6 + 6 + -1t = 35 + 6

Combine like terms: -6 + 6 = 0
0 + -1t = 35 + 6
-1t = 35 + 6

Combine like terms: 35 + 6 = 41
-1t = 41

Divide each side by '-1'.
t = -41

Simplifying
t = -41